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Finding the Fourth Proportional to 194,637.60, 291,956.40 and 111,463.20

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Solution

The fourth proportional to 194,637.60, 291,956.40 and 111,463.20 is: 167,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,637.60 : 291,956.40 = 111,463.20 : x
  2. Step 2: Convert to fraction form
    194,637.60/291,956.40 = 111,463.20/x
  3. Step 3: Cross multiply
    194,637.60x = 291,956.40 × 111,463.20
  4. Step 4: Simplify right side
    194,637.60x = 32,542,394,604.48
  5. Step 5: Solve for x
    x = 32,542,394,604.48/194,637.60
  6. Step 6: Final answer
    x = 167,194.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.